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 Pick a box! (Posted on 2002-03-28)
You are shown three boxes, and told that one of them contains a prize. You are then asked to pick one box, and if that box is the one with the prize, you will win it. After picking a box, you are shown that one of the other two boxes is empty, and offered a chance to change your selection.

Should you do this? Would changing your choice to the other remaining box affect your odds of winning? Why or why not?

 See The Solution Submitted by levik Rating: 4.2857 (14 votes)

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 Subject Author Date Explanation to Puzzle Answer K Sengupta 2022-06-27 23:51:58 Puzzle Answer K Sengupta 2022-06-27 00:05:02 Alternate explanation of the solution tomarken 2009-03-25 11:53:52 Two Solutions owl 2005-08-17 14:36:31 Solution Stephen Ticsay 2005-04-16 04:08:18 re: Cool analogy yocko 2005-03-08 07:38:34 6/9 Bractals 2005-03-08 07:12:10 Agree with solution? Problem simplified? john 2005-03-07 17:11:43 re: Cool analogy john 2005-03-07 16:52:33 Cool analogy Tristan 2005-03-04 03:01:28 re: Flat out wrong logic in solution. Tristan 2005-03-03 22:20:52 Flat out wrong logic in solution. john 2005-03-03 18:15:56 re(4): YES! ~33/66! All possibilites shown! Dustin 2005-03-03 00:15:47 re(3): NO! 50/50! All possibilites shown! Tristan 2005-03-02 23:31:06 re(2): NO! 50/50! All possibilites shown! john 2005-03-02 21:03:49 Disagree with solution! john 2005-03-02 16:18:09 re(3): YES! ~33/66! All possibilites shown! john 2005-03-02 16:08:25 re(2): YES! ~33/66! All possibilites shown! Dustin 2005-03-01 17:42:05 re: NO! 50/50! All possibilites shown! Dustin 2005-03-01 17:30:30 re: NO! 50/50! All possibilites shown! john 2005-03-01 17:24:54 NO! 50/50! All possibilites shown! john 2005-03-01 17:09:37 re: kinda easy john 2005-03-01 16:21:47 re: owl 2004-12-11 05:46:49 No Subject Iain 2004-05-09 14:24:09 No Subject logischer Verstand 2004-05-02 20:53:08 maybe Billy Bob 2004-03-28 10:29:41 kinda easy omar 2004-02-21 15:31:40 No Subject Cory Taylor 2002-12-17 10:17:09 re: hmmm levik 2002-11-06 10:14:07 hmmm danny 2002-11-05 11:35:50 Come on guys! Arcus 2002-10-29 09:25:40 re: 50% vs 67% levik 2002-10-17 09:01:31 50% vs 67% Jim Lyon 2002-10-16 13:08:30 re: Why 50% is not the answer. levik 2002-08-15 10:16:15 Hey Dulanjana 2002-08-14 20:55:02 Why 50% is not the answer. Paul 2002-08-14 11:14:20 50% is the ONLY answer. Mike 2002-05-10 15:32:06 Math vs. Puzzles Chris 2002-05-07 04:50:40 More info John 2002-05-01 06:46:13 More info to Re: No John 2002-05-01 06:44:48 Re: No John 2002-05-01 06:43:30 No D Willson 2002-04-23 22:19:13

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